λ
Harmonic Matrix

7,639,670

2 × 5 × 763967
Deficient Even Composite

7,639,670 has digital root 2. The neighboring primes are 7639663 and 7639699; its proper-divisor sum differs from the starting integer by -1,527,916.

Prime Factor Structure

Factorization String 2 × 5 × 763967
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,751,424
Proper Divisor Sum 6,111,754
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7639663 ← → #7639699

Radix Representation

Decimal 7639670
Binary 11101001001001001110110 (23 bits)
Octal 0o35111166
Hexadecimal 0x749276

Divisor Catalog (8)

1 2 5 10 763,967 1,527,934 3,819,835 7,639,670

Collatz Trajectory (124 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,639,670 3,819,835 11,459,506 5,729,753 17,189,260 8,594,630 4,297,315 12,891,946 6,445,973 19,337,920 9,668,960 4,834,480 2,417,240 1,208,620 604,310 302,155 906,466 453,233 1,359,700 679,850 339,925 1,019,776 509,888 254,944 127,472 63,736 31,868 15,934 7,967 23,902 11,951 35,854 17,927 53,782 26,891 80,674 40,337 121,012 60,506 30,253 90,760 45,380 22,690 11,345 34,036 17,018 8,509 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080

More profiles

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